A small block of mass `m=1kg` is attached with one end of the spring of force constant `K=110Nm^-1`. Other end of the spring is fixed to a rough plane having coefficient of friction `mu=0.2`. The spring is kept in its natural length by an inextensible thread ties between its ends as shown in figure. If the thread is burnt, calculate the elongation of the spring when the block attains static equilibrium position.

A block A of mass m=5kg is attached with a spring having force constant K=2000Nm^-1 . The other end of the spring is fixed to a rough plane, inclined at 37^@ with horizontal and having coefficient of friction m=0.25 . Block A is gently placed on the plane such that the spring has no tension. Then block A is released slowly. Calculate elongation of the spring when equilibrium is achieved. Now an inextensible thread is connected with block A and passes below pulley C and over pulley D, as shown in figure. Other end of the thread is connected with another block B of mass 3kg . Block B is resting over a table and thread is loose. If the table collapse suddenly and B falls freely through 80//9cm , the thread becomes taut, calculate combined speed of blocks at that instant, and maximum elongation of spring in the process of motion. (g=10ms^-2) .

A block A of mass m=5kg is attached with a spring having force constant K=2000Nm^-1 . The other end of the spring is fixed to a rough plane, inclined at 37^@ with horizontal and having coefficient of friction m=0.25 . Block A is gently placed on the plane such that the spring has no tension. Then block A is released slowly. Calculate elongation of the spring when equilibrium is achieved. Now an inextensible thread is connected with block A and passes below pulley C and over pulley D, as shown in figure. Other end of the thread is connected with another block B of mass 3kg . Block B is resting over a table and thread is loose. If the table collapse suddenly and B falls freely through 80//9cm , the thread becomes taut, calculate combined speed of blocks at that instant, and maximum elongation of spring in the process of motion. (g=10ms^-2) .

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.

A block of mass m is attached to a spring of force constant k whose other end is fixed to a horizontal surface. Initially the spring is in its natural length and the block is released from rest. The average force acting on the surface by the spring till the instant when the block has zero acceleration for the first time is

A block of mass m is attached to a spring of force constant k whose other end is fixed to a horizontal surface. Initially the spring is in its natural length and the block is released from rest. The average force acting on the surface by the spring till the instant when the block has zero acceleration for the first time is

Two blocks of masses m_1 and m_2 are attached to the lower end of a light vertical spring of force constant k. The upper end of the spring is fixed. When the system is in equilibrium, the lower block (m_2) drops off. The other block (m_1) will

A spring has natural length 40 cm and spring constant 500 N//m . A block of mass 1 kg is attached at one end of the spring and other end of the spring is attached to a ceiling. The block is relesed from the position, where the spring has length 45 cm .

A spring has natural length 40 cm and spring constant 500 N//m . A block of mass 1 kg is attached at one end of the spring and other end of the spring is attached to a ceiling. The block is relesed from the position, where the spring has length 45 cm .